A mathematical question of a term should give its meaning using only previously defined mathematical terms and common words.
A good definition: a definition should first classify the term, then differentiate the term from others in that classification. You should always test your definition by looking for a counterexample.
Lesson 1-3 Angles acute angle - an angle whose measure is less than 90 degrees angle bisector- a line that divides an angle into two congruent angles complementary angles - a pair of angles whose combined measure is equal to 90 degrees linear pair of angles - a pair of adjacent angles whose sum is 180 degrees obtuse angle - an angle whose measure is more than 90 degrees but less that 180 degrees right angle - an angle whose measure is equal to exactly 90 degrees supplementary angles - a pair of angles whose combined measures are equal to 180 degrees vertical angle- a pair of non adjacent angles formed by intersecting lines with the same vertex
Lines line - undefined plane - undefined point - undefined collinear points - points which lie on the same line coplanear points - points that are contained in the same plane line segment - a section of a line with two endpoints endpoint - a point on the end of a line segment midpoint - a point on a line segment where the distance to the endpoints on either side of the point is congruent rays - a part of a line that extends in only one direction and has one end point
Comparisons congruent- EQUAL MEASURES or lengths equal- SAME
Lesson 1-4 Polygons vertex - where each endpoint of a polygon's sides meet diagonal - a line segment that connects 2 nonconsecutive vertices of a polygon polygon - a closed figure in a plane, formed by connecting line segments with no segment intersecting more then twice side - each line segment in a polygon convex polygon - a polygon with least one diagonal that is outside the polygon concave polygon - a polygon with all diagonals inside the polygon equilateral polygon - a polygon whose sides are all CONGRUENT
Lesson 1-5 triangles- a polygon with three sides acute triangle-a triangle with all angles less than 90 degrees equiangular triangle- a triangle with all equal angles equilateral triangle- a triangle with all congruent sides isosceles triangle- a triangle with at least two congruent sides obtuse triangle-a triangle with an angle over 90 degrees right triangle- a triangle with exactly 1 right angle and at most 2 congruent sides scalene triangle- a triangle with no congruent sides
Lesson 1-6 Special Quadrilaterals kite - a quadrilateral with 2 distinct pairs of adjacent congruent sides parallelogram -a quadrilateral with 2 pairs of parallel sides trapezoid - a quadrilateral with exactly one pair of parallel sides
Parallelogram rectangle - a parallelogram that is equiangular rhombus -a parallelogram which all sides are congruent square - (1) a rhombus that is equiangular
(2) a rectangle that is equilateral
(3) a quadrilateral that is regular
Lesson 1-7
Circles circle- a set of all points that are equidistant from a given point; it is a locus of points chord- a line segment whose endpoints are on a circle diameter- a chord that passes through the center of a circle; it is the longest chord in the circle tangent- a line that intersects the circle exactly once Locus of points - a set of all points that meet the specified requirements arch- two points on a circle and an unbroken portion of the circle in between them end points- the two points of the arc semi-circle- an arc whose endpoints are the diameter minor arc- an arc that is smaller than a semi-circle major arc- an arc that is larger than a semi-circle
Lesson 1-8 Isometric Drawing-this two-dimensional drawing shows three sides of an object in one view Skew lines - do not intersect and are not parallel
Lesson 1-9 Venn diagram - represents larger groups that contain smaller groups as circles within circles, or ovals within ovals
Chapter 1 Vocabulary
Vocab Examples
GSP Tutorials
A mathematical question of a term should give its meaning using only previously defined mathematical terms and common words.
A good definition: a definition should first classify the term, then differentiate the term from others in that classification. You should always test your definition by looking for a counterexample.
Lesson 1-3
Angles
acute angle - an angle whose measure is less than 90 degrees
angle bisector- a line that divides an angle into two congruent angles
complementary angles - a pair of angles whose combined measure is equal to 90 degrees
linear pair of angles - a pair of adjacent angles whose sum is 180 degrees
obtuse angle - an angle whose measure is more than 90 degrees but less that 180 degrees
right angle - an angle whose measure is equal to exactly 90 degrees
supplementary angles - a pair of angles whose combined measures are equal to 180 degrees
vertical angle- a pair of non adjacent angles formed by intersecting lines with the same vertex
Lines
line - undefined
plane - undefined
point - undefined
collinear points - points which lie on the same line
coplanear points - points that are contained in the same plane
line segment - a section of a line with two endpoints
endpoint - a point on the end of a line segment
midpoint - a point on a line segment where the distance to the endpoints on either side of the point is congruent
rays - a part of a line that extends in only one direction and has one end point
Comparisons
congruent- EQUAL MEASURES or lengths
equal- SAME
Lesson 1-4
Polygons
vertex - where each endpoint of a polygon's sides meet
diagonal - a line segment that connects 2 nonconsecutive vertices of a polygon
polygon - a closed figure in a plane, formed by connecting line segments with no segment intersecting more then twice
side - each line segment in a polygon
convex polygon - a polygon with least one diagonal that is outside the polygon
concave polygon - a polygon with all diagonals inside the polygon
equilateral polygon - a polygon whose sides are all CONGRUENT
Lesson 1-5
triangles- a polygon with three sides
acute triangle-a triangle with all angles less than 90 degrees
equiangular triangle- a triangle with all equal angles
equilateral triangle- a triangle with all congruent sides
isosceles triangle- a triangle with at least two congruent sides
obtuse triangle-a triangle with an angle over 90 degrees
right triangle- a triangle with exactly 1 right angle and at most 2 congruent sides
scalene triangle- a triangle with no congruent sides
Lesson 1-6
Special Quadrilaterals
kite - a quadrilateral with 2 distinct pairs of adjacent congruent sides
parallelogram -a quadrilateral with 2 pairs of parallel sides
trapezoid - a quadrilateral with exactly one pair of parallel sides
Parallelogram
rectangle - a parallelogram that is equiangular
rhombus -a parallelogram which all sides are congruent
square - (1) a rhombus that is equiangular
(2) a rectangle that is equilateral
(3) a quadrilateral that is regular
Lesson 1-7
Circles
circle- a set of all points that are equidistant from a given point; it is a locus of points
chord- a line segment whose endpoints are on a circle
diameter- a chord that passes through the center of a circle; it is the longest chord in the circle
tangent- a line that intersects the circle exactly once
Locus of points - a set of all points that meet the specified requirements
arch- two points on a circle and an unbroken portion of the circle in between them
end points- the two points of the arc
semi-circle- an arc whose endpoints are the diameter
minor arc- an arc that is smaller than a semi-circle
major arc- an arc that is larger than a semi-circle
Lesson 1-8
Isometric Drawing-this two-dimensional drawing shows three sides of an object in one view
Skew lines - do not intersect and are not parallel
Lesson 1-9
Venn diagram - represents larger groups that contain smaller groups as circles within circles, or ovals within ovals